SOLUTION: What are 2 numbers that add together to get -23 and multiply to get -120

Question 891597: What are 2 numbers that add together to get -23 and multiply to get -120
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What are 2 numbers that add together to get -23 and multiply to get -120
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x + y = -23
x*y = -120 --> y = -120/x
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x - (120/x) = -23

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1009 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.38238017426859, -27.3823801742686. Here's your graph:

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